Work on yourself. Influence has to come from something genuine: real competence, real respect for other people, etc. All that other stuff is merely manipulation and manipulation tends to come back to bite you at some point.

You might start with a book like "The 7 habits of highly effective people", which isn't at all about influencing others but is, instead, about getting things done.

For negotiation skills, which is entirely different from "persuasion" but can give you real power to influence outcomes, the only two I know of which are research-based are "Getting to Yes" and "The Mind and Heart of the Negotiator". Both of these were required texts for my class on "Negotiation and Conflict Management".